Short, but challenging, logic puzzle

You’ll need the full powers of your working memory for this one, courtesy of www.braingle.com:

There is a very special five digit number. The special thing about it is that its first digit describes how many 0s there are in the whole number, the second digit describes how many 1s there are in the whole number, and so one, all the way to the fifth digit describing how many 4s there are in the big number

Kelby, 31000 doesn’t work because there would have to be a 1 to represent the number of 3s. i.e 31010 – but this then means there are 2 1s. hence making it an incorrect answer.
21200 is the only correct answer.

Dr. Numlock there is a flaw in your theory in the # 30010 the 2nd digit would represent how many 1’s are in the 5-digit #,ur # states 0 and u have one #1 in ur 5-digit # i think 21200 is the only correct answer

Scott K. (above) is my dad. i am his 13 year old son. he couldnt get the answer no matter how hard he tried. he worked on it for a good 25-30 minutes. i then took it up to my room and figured it out in about 5 minutes. my dad is a very smart lawyer, so this has to just be how your individual brain thinks logically. i probably embarassed him by saying all this, so sorry dad!

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